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The length AM can be calculated using trigonometry in two different
ways. Create this pair of equivalent calculations for different peg
boards, notice a general result, and account for it.

Round and Round a Circle

Stage: 4 Challenge Level:

Watch the animation.
Can you explain what is happening?
What do you notice about the numbers that appear towards the end of
the sequence?
Can you explain how they vary and why?
What would happen if the dot kept going around the circle
increasing the angle beyond 360 degrees?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.